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x²/(x²-1)²的不定积分
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咨询记录 · 回答于2022-03-06
x²/(x²-1)²的不定积分
亲!您好,我是百度问一问合作的老师,已经收到您的问题,我这边正在为您查询,请稍等片刻,请不要结束咨询,![](https://s.bdstatic.com/common/openjs/emoticon/img/face_211.png)
给您整理好答案请稍等!![](https://s.bdstatic.com/common/openjs/emoticon/img/face_01.png)
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亲中午好~很高兴为您解答
∫x^2/(1+x^2)dx=∫(x^2+1-1)/(1+x^2)dx=∫(1-1/(1+x^2))dx=x-arctanx+C
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